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Finding the Fourth Proportional to 14,301.18, 19,735.38 and 7,840.80

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Solution

The fourth proportional to 14,301.18, 19,735.38 and 7,840.80 is: 10,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.18 : 19,735.38 = 7,840.80 : x
  2. Step 2: Convert to fraction form
    14,301.18/19,735.38 = 7,840.80/x
  3. Step 3: Cross multiply
    14,301.18x = 19,735.38 × 7,840.80
  4. Step 4: Simplify right side
    14,301.18x = 154,741,167.50
  5. Step 5: Solve for x
    x = 154,741,167.50/14,301.18
  6. Step 6: Final answer
    x = 10,820.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.